-
Julie Marie Rowlett (Chalmers University of Technology)01/12/2026, 14:30
The search for extrema is a central theme in both mathematics and physics. In this talk, we address the following question: among all n-dimensional orthogonal tori of unit volume, which one maximizes the determinant of the Laplacian? This determinant is obtained via the zeta regularization method, originally introduced by Ray and Singer to define an analytic analogue of the topological...
Go to contribution page -
Lorenzo Maniscalco (Università di Torino)01/12/2026, 15:30
In this talk we will discuss the spacelike capillary problem in a cylinder of Minkowski spacetime $\mathbb{L}^{m+1}$: given a bounded domain $\Omega\subseteq \R^m$, it asks whether there exists a spacelike graph in the cylinder over $\Omega$ with prescribed mean curvature and Lorentzian contact angle with the wall of the cylinder. From a PDE point of view, this is a quasi-linear elliptic...
Go to contribution page -
Luca Benatti (Universität Wien)01/12/2026, 16:30
Monotonicity formulas appear in many areas of geometric analysis and have proved to be remarkably effective tools for a wide range of purposes, from geometric inequalities and rigidity phenomena to the study of regularity properties of solutions to PDEs.
In this talk, I will revisit a few stages of this story, showing how formulas arising in seemingly different settings share a common...
Go to contribution page -
Batu Güneysu (Christian-Albrechts-Universität zu Kiel)02/12/2026, 09:30
The class of metric surfaces of bounded integral curvature (BIC) is a large class of singular surfaces including e.g. the class of polyhedral surfaces. These surfaces have just enough regularity to define the curvature as a signed Radon measure, and compact BIC surfaces
Go to contribution page
admit a natural Gauss-Bonnet Theorem. Given a complete surface of bounded integral curvature (without cusps), together with... -
Maurizia Rossi (Università degli Studi di Milano-Bicocca)02/12/2026, 11:00
In this talk we investigate the behavior of the "typical" Laplacian eigenfunction of a compact smooth Riemannian manifold. In particular, motivated by both Yau's conjecture on nodal sets and Berry's ansatz on planar random waves, we consider Gaussian eigenfunctions on the sphere and study the distribution of the length of their nodal lines in the high energy limit. This result raises several...
Go to contribution page -
Simone Vincini (Universität Wien)02/12/2026, 12:00
-
Sara Farinelli (Università di Genova)02/12/2026, 14:30
The Payne–Weinberger inequality gives a sharp lower bound for the first non-zero Neumann eigenvalue of a convex domain in terms of its diameter. A recent result by Amato, Bucur and Fragalà provides a quantitative stability result in the Euclidean setting, based on a suitable convex partition argument. In this talk, I will present an approach to the problem in which convex partitions are...
Go to contribution page -
Francesca Tripaldi (University of Leeds)03/12/2026, 09:30
Differential complexes are fundamental tools in geometry and analysis, encoding geometric structures through differential operators and cohomological invariants. In subRiemannian geometry, the classical de Rham complex is often replaced by more intrinsic subcomplexes, such as the Rumin complex, which better reflect the underlying graded structure. In this talk, I will discuss the problem of...
Go to contribution page -
Prof. Pieralberto Sicbaldi (Universidad de Granada)03/12/2026, 11:00
-
Claudia Pontuale (Università degli Studi dell’Aquila)03/12/2026, 12:00
We discuss rigidity phenomena for complete, noncompact, stable hypersurfaces with constant mean curvature, with particular emphasis on questions related to Do Carmo’s problem. We will review some classical results and then consider extensions to the anisotropic setting, focusing on how stability can constrain the global geometry and topology at infinity. Some recent results and open questions...
Go to contribution page -
Alessandro Savo (Sapienza Università di Roma)03/12/2026, 14:30
On a closed Riemannian surface we study the magnetic Laplacian with magnetic potential given by a harmonic 1-form A. Its lowest eigenvalue (magnetic ground state energy) is positive, unless A represents an integral cohomology class. We isolate a countable set of ground state energies which we call ''ground state spectrum'' of the metric. Our main result is to show that the ground state...
Go to contribution page -
Alexander Grigor’yan (Universität Bielefeld)03/12/2026, 16:00
-
Davide Carazzato (Universität Wien)04/12/2026, 09:00
-
8. A solution operator for the linearized constant scalar curvature equation at the hyperbolic spaceAlbachiara Cogo (Scuola Normale Superiore)04/12/2026, 10:00
We discuss a new approach to constructing a solution operator to the linearized scalar curvature equation at the hyperbolic metric, which has negative constant scalar curvature. Such an operator is of Bogovskii-type with good support propagation properties and gains two derivatives relative to standard norms; it extends the corresponding construction for the linearized scalar curvature...
Go to contribution page -
Gilles Carron (Nantes Université)04/12/2026, 11:30
I will discuss of various curvature or spectral constraints implying that a complete Riemannian manifold of dimension 3 is diffeomorphic to the Euclidean space. I will also provide some recent topological finiteness result obtained in collaboration with Dorian Martino (ETH Zürich).
Go to contribution page
Choose timezone
Your profile timezone: